85306820 has 24 divisors (see below), whose sum is σ = 180823104. Its totient is φ = 33802976.

The previous prime is 85306817. The next prime is 85306843. The reversal of 85306820 is 2860358.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17792 + ... + 22071.

It is an arithmetic number, because the mean of its divisors is an integer number (7534296).

Almost surely, 2^85306820 is an apocalyptic number.

It is an amenable number.

85306820 is an abundant number, since it is smaller than the sum of its proper divisors (95516284).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85306820 is a wasteful number, since it uses less digits than its factorization.

85306820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39979 (or 39977 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 85306820 is about 9236.1691192832. The cubic root of 85306820 is about 440.2113653911.

The spelling of 85306820 in words is "eighty-five million, three hundred six thousand, eight hundred twenty".